What is the Least Common Multiple of 57920 and 57940?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 57920 and 57940 is 167794240.
LCM(57920,57940) = 167794240
Least Common Multiple of 57920 and 57940 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57920 and 57940, than apply into the LCM equation.
GCF(57920,57940) = 20
LCM(57920,57940) = ( 57920 × 57940) / 20
LCM(57920,57940) = 3355884800 / 20
LCM(57920,57940) = 167794240
Least Common Multiple (LCM) of 57920 and 57940 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 57920 and 57940. First we will calculate the prime factors of 57920 and 57940.
Prime Factorization of 57920
Prime factors of 57920 are 2, 5, 181. Prime factorization of 57920 in exponential form is:
57920 = 26 × 51 × 1811
Prime Factorization of 57940
Prime factors of 57940 are 2, 5, 2897. Prime factorization of 57940 in exponential form is:
57940 = 22 × 51 × 28971
Now multiplying the highest exponent prime factors to calculate the LCM of 57920 and 57940.
LCM(57920,57940) = 26 × 51 × 1811 × 28971
LCM(57920,57940) = 167794240
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